Grade 5 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Grade 5 | Multiplication
☐ Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.
☐ Reaction Math
☐ Long Multiplication
☐ Long Multiplication Worksheets
☐ Test your Multiplication - Times Tables From 2 to 15
☐ Understand how to multiply by negative numbers
☐ Multiplying Negatives Makes A Positive
☐ Whole Numbers and Integers
☐ Definition of Negative
☐ Number Line
☐ Develop fluency with multiplication facts up to 12x
☐ Definition of Times Tables
☐ Math Trainer - Multiplication
☐ Multiplication Worksheets
☐ Multiplication - Times Tables
☐ Multiplication Tips and Tricks
☐ Printable Multiplication Table
☐ Printable Multiplication Table - Small Size
☐ Test your Maths
☐ Test your Multiplication - Times Tables From 2 to 15
Grade 5 | Division
☐ Use a variety of strategies to divide three-digit or four-digit numbers by one-digit or two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
☐ Division Worksheets
☐ Fix the Equation
☐ Division
☐ Easily test if one number can be evenly divided by another by using divisibility rules.
☐ Divisibility Rules (Tests)
☐ Factors and Multiples
Grade 5 | Numbers
☐ Read and write whole numbers to millions
☐ Place Value
☐ Definition of Whole Number
☐ Activity: Count to a Billion
☐ Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)
☐ Activity: Drawing Stars
☐ Prime Numbers Chart and Calculator
☐ Prime and Composite Numbers
☐ Definition of Prime Number
☐ Definition of Composite Number
☐ Prime Number List
☐ Calculate multiples of a whole number and the least common multiple of two numbers
☐ Least Common Multiple
☐ Least Common Multiple Calculator
☐ Definition of Least Common Multiple
☐ Factors and Multiples
☐ Definition of Multiple
☐ Identify the factors of a given number
☐ All Factors of a Number
☐ Definition of Factor
☐ Prime Factorization
☐ Divisibility Rules (Tests)
☐ Prime and Composite Numbers
☐ Prime Factorization Tool
☐ Factors and Multiples
☐ Find the common factors and the greatest common factor of two numbers
☐ Greatest Common Factor
☐ Greatest Common Factor Calculator
☐ Definition of Greatest Common Factor
☐ Definition of Common Factor
☐ Factors and Multiples
☐ Definition of Factor
☐ Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
☐ Brackets (Parentheses)
☐ Smart Blocks
☐ Order of Operations - BODMAS
☐ Order of Operations - PEMDAS
☐ Definition of Order of Operations
☐ Order of Operations Calculator
☐ Compare and order numbers to millions
☐ Definition of Ordering
☐ Ordering Numbers
☐ Ordering Game
☐ Round numbers to the nearest hundredth and up to the nearest 10,000
☐ Rounding Numbers
☐ Definition of Rounding
☐ Place Value
☐ Decimals
☐ Understand the place value structure of the base ten number system: * 10 ones = 1 ten * 10 tens = 1 hundred * 10 hundreds = 1 thousand * 10 thousands = 1 ten thousand * 10 ten thousands = 1 hundred thousand * 10 hundred thousands = 1 million
☐ Activity: Count to a Billion
☐ Place Value
☐ Definition of Place Value
☐ Understand the difference between a factor and a multiple of an integer.
☐ Factors and Multiples
Grade 5 | Decimals
☐ Compare decimals using <, >, or =
☐ Equal, Less and Greater Than Symbols
☐ Ordering Decimals
☐ Definition of Ordering
☐ Ordering Game
☐ Compare Decimal Numbers 0 to 1
☐ Compare Decimal Numbers: -1 to +1
☐ Decimals
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
☐ Adding Decimals
☐ Dividing Decimals
☐ Multiplying Decimals
☐ Dividing Decimals Animations
☐ Multiplying Decimals Animations
☐ Subtracting Decimals
☐ Decimal Worksheets
☐ Read, write, and order decimals to thousandths
☐ Decimals
☐ Ordering Game
☐ Ordering Decimals
☐ Definition of Ordering
☐ Compare Decimal Numbers 0 to 1
☐ Compare Decimal Numbers: -1 to +1
☐ Equal, Less and Greater Than Symbols
☐ Convert percents to decimals
☐ Introduction to Percentages
☐ Definition of Percent
☐ Decimals, Fractions and Percentages
☐ Convert Percents to Decimals
Grade 5 | Fractions
☐ Simplify fractions to lowest terms
☐ Simplifying Fractions
☐ Fraction Worksheets
☐ Equivalent Fractions
☐ Greatest Common Factor
☐ Fractions
☐ Fraction Number Line
☐ Definition of Equivalent Fractions
☐ Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
☐ Improper Fractions
☐ Mixed Fractions
☐ Fraction Worksheets
☐ Definition of Improper Fraction
☐ Definition of Mixed Fraction
☐ Use a variety of strategies to add and subtract fractions with like denominators
☐ Adding Fractions
☐ Subtracting Fractions
☐ Fraction Worksheets
☐ Common Denominator
☐ Least Common Denominator
☐ Add and subtract mixed numbers with like denominators
☐ Adding Fractions
☐ Mixed Fractions
☐ Adding and Subtracting Mixed Fractions
☐ Fraction Worksheets
☐ Subtracting Fractions
☐ Estimate sums and differences of fractions with unlike denominators.
☐ Comparing Fractions
☐ Adding Fractions
☐ Subtracting Fractions
☐ Create equivalent fractions, given a fraction
☐ Equivalent Fractions
☐ Fraction Worksheets
☐ Definition of Equivalent Fractions
☐ Simplifying Fractions
☐ Fractions
☐ Greatest Common Factor
☐ Fraction Number Line
☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
☐ Compare Fractions
☐ Comparing Fractions
☐ Fraction Number Line
☐ Ordering Game
☐ Equivalent Fractions
☐ Compare Unit Fractions
☐ Number Line
☐ Compare fractions using <, >, or =
☐ Compare Unit Fractions
☐ Compare Fractions
☐ Comparing Fractions
☐ Equal, Less and Greater Than Symbols
☐ Ordering Game
☐ Common Denominator
☐ Equivalent Fractions
☐ Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.
☐ Dividing Fractions
☐ Multiplying Fractions
☐ Decimal Fraction Worksheets
☐ Reciprocal of a Fraction
☐ Subtracting Fractions
☐ Adding Fractions
☐ Divide a fraction by a whole number
☐ Dividing Fractions By Whole Numbers
☐ Multiply a fraction by a whole number
☐ Multiplying Fractions
☐ Express decimals as an equivalent form of fractions with denominators that are powers of 10, and simplify to lowest terms.
☐ Decimals
☐ Decimal Fraction Worksheets
☐ Fraction/Decimal Chart
☐ Decimals, Fractions and Percentages
☐ Decimal to Fraction Converter
☐ Convert Decimals to Fractions
☐ Convert percents to fractions
☐ Introduction to Percentages
☐ Convert Percents to Fractions
☐ Decimals, Fractions and Percentages
☐ Definition of Percent
Grade 5 | Percentages
☐ Understand that percent means part of 100
☐ Introduction to Percentages
☐ Definition of Percent
☐ Convert fractions or decimals to percents
☐ Decimals, Fractions and Percentages
☐ Convert Fractions to Percents
☐ Convert Decimals to Percents
Grade 5 | Ratios
☐ Understand the concept of ratio
☐ Ratios
☐ Ratio - Make Some Chocolate Crispies
☐ Ratio - Chocolate Crispies Recipe
☐ Definition of Ratio
☐ Express ratios in different forms
☐ Ratios
☐ Ratio - Make Some Chocolate Crispies
☐ Ratio - Chocolate Crispies Recipe
Grade 5 | Measurement
☐ Use a ruler to measure to the nearest centimeter or millimeter
☐ Definition of Ruler
☐ Metric Length
☐ Activity: Discover Lengths
☐ Activity: Personal Measures
☐ Measuring Metrically with Maggie
☐ Determine personal references for metric units of length
☐ Metric Length
☐ Measuring Metrically with Maggie
☐ Metric System of Measurement
☐ Activity: Personal Measures
☐ Identify customary equivalent units of length (metric)
☐ Unit Converter
☐ Metric Length
☐ Measuring Metrically with Maggie
☐ Convert lengths within the metric system
☐ Unit Converter
☐ Measuring Metrically with Maggie
☐ Metric Length
☐ Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles
☐ Accuracy and Precision
☐ Definition of Ruler
☐ Using a Protractor
☐ Activity: Discover Lengths
☐ Definition of Protractor
☐ Measure and draw angles using a protractor
☐ Using a Protractor
☐ Definition of Protractor
☐ Degrees (Angles)
☐ Pie Chart
☐ Activity: How High?
☐ Understand Temperature
☐ Interactive Thermometer
☐ Definition of Temperature
☐ Definition of Thermometer
☐ Definition of Fahrenheit
☐ Definition of Celsius
☐ Introduction to US Standard Units
☐ Measuring Metrically with Maggie
☐ Understand the Celsius and Fahrenheit temperature scales, including the freezing and boiling points of water on the two scales
☐ Interactive Thermometer
☐ Definition of Temperature
☐ Definition of Thermometer
☐ Definition of Fahrenheit
☐ Definition of Celsius
☐ Introduction to US Standard Units
☐ Measuring Metrically with Maggie
☐ Use a ruler to measure to the nearest inch, 1/2, 1/4 or 1/8 inch
☐ Activity: Personal Measures
☐ Activity: Discover Lengths
☐ Definition of Ruler
☐ US Standard Lengths
☐ Introduction to US Standard Units
☐ Determine personal references for US standard units of length
☐ US Standard Lengths
☐ Introduction to US Standard Units
☐ Activity: Personal Measures
☐ Identify customary equivalent units of length (US)
☐ Unit Converter
☐ US Standard Lengths
☐ Introduction to US Standard Units
☐ Convert lengths within the US system
☐ Conversion of Length
☐ Unit Converter
☐ Introduction to US Standard Units
☐ US Standard Lengths
Grade 5 | Time
☐ Calculate elapsed time in hours and minutes
☐ Stopwatches
☐ Adding and Subtracting Time
☐ Definition of Minute
☐ Definition of Hour
☐ Midnight
☐ Hourglasses 1
☐ Hourglasses 2 Puzzle
☐ Activity: Count to a Billion
☐ Convert times in minutes and seconds to seconds, or hours and minutes to minutes
☐ Metric System of Measurement
Grade 5 | Geometry (Plane)
☐ Evaluate the perimeter formula for given input values
☐ Definition of Perimeter
☐ Perimeter
☐ Calculate the perimeter of regular and irregular polygons
☐ Definition of Perimeter
☐ Perimeter
☐ Definition of Polygon
☐ Definition of Regular Polygon
☐ Polygons
☐ Definition of Irregular Polygon
☐ Identify corresponding parts of congruent triangles
☐ How To Find if Triangles are Congruent
☐ Definition of Congruent
☐ Congruent
☐ Congruent Triangles
☐ Identify and draw lines of symmetry of basic geometric shapes
☐ Geometry - Reflection
☐ Symmetry Artist
☐ Reflection Symmetry
☐ Definition of Symmetry
☐ Definition of Line Symmetry
☐ Activity: Symmetry of Shapes
☐ Lines of Symmetry of Plane Shapes
☐ Plot points to form basic geometric shapes (identify and classify)
☐ Alien Mask From Coordinates
☐ Diplodocus Using Coordinates
☐ Point
☐ Cartesian Coordinates
☐ Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
☐ Perimeter
☐ Rectangle
☐ Cartesian Coordinates
☐ Interactive Cartesian Coordinates
☐ Identify pairs of similar triangles, or other geometrical shapes
☐ Similar
☐ Definition of Similar
☐ Similar Triangles
☐ Sam Loyd's Juggler Puzzle
☐ Identify the ratio of corresponding sides of similar triangles
☐ Similar Triangles
☐ Classify quadrilaterals by properties of their angles and sides
☐ Interactive Quadrilaterals
☐ Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ Definition of Quadrilateral
☐ Definition of Square
☐ Definition of Rectangle
☐ Definition of Rhombus
☐ Definition of Trapezoid
☐ Definition of Parallelogram
☐ Definition of Kite
☐ Know that the sum of the interior angles of a quadrilateral is 360 degrees
☐ Interior Angles of Polygons
☐ Interactive Quadrilaterals
☐ Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ Classify triangles by properties of their angles and sides
☐ Interactive Triangles
☐ Triangles - Equilateral, Isosceles and Scalene
☐ Angles - Acute, Obtuse, Straight and Right
☐ Know that the sum of the interior angles of a triangle is 180 degrees
☐ Interior Angles of Polygons
☐ Triangles Contain 180 Degrees
☐ Interactive Triangles
☐ Triangles - Equilateral, Isosceles and Scalene
☐ Find a missing angle when given two angles of a triangle
☐ Interior Angles of Polygons
☐ Triangles Contain 180 Degrees
☐ Interactive Triangles
☐ Triangles - Equilateral, Isosceles and Scalene
☐ Identify pairs of congruent triangles, or other geometrical shapes
☐ Congruent
☐ Definition of Congruent
☐ Congruent Triangles
☐ How To Find if Triangles are Congruent
☐ Know that a right angle is 90 degrees, a straight angle is 180 degrees and a full circle is 360 degrees.
☐ Right Angles
☐ Supplementary Angles
☐ Degrees (Angles)
☐ Straight Angles
☐ Exterior Angle
☐ Exterior Angles of Polygons
☐ Interior Angle
☐ Complementary Angles
☐ Full Rotation
☐ Activity: Clocks and Angles
☐ Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.
☐ Rotational Symmetry
☐ Point Symmetry
☐ Activity: Make a Mandala
☐ Symmetry - Reflection and Rotation
☐ Symmetry Artist
☐ Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.
☐ Polygons
☐ Interactive Polygons
☐ Definition of Regular Polygon
☐ Definition of Irregular Polygon
☐ Understand what is meant by point symmetry
☐ Point Symmetry
☐ Rotational Symmetry
☐ Symmetry Artist
☐ Understand what is meant by the vertex of an angle and adjacent angles
☐ Adjacent Angles
Grade 5 | Geometry (Solid)
☐ Understand the Platonic Solids
☐ Spinning Dodecahedron
☐ Spinning Icosahedron
☐ Platonic Solids Construction Tips
☐ Spinning Octahedron
☐ Spinning Tetrahedron
☐ Platonic Solids
☐ Spinning Cube (Hexahedron)
☐ Cube Model Template
☐ Octahedron Model Template
☐ Tetrahedron Model Template
☐ Dodecahedron Model Template
☐ Icosahedron Model Template
☐ Polyhedrons
☐ Activity: Investigating Solids
☐ Construct models of polyhedra (including the Platonic solids) from their nets.
☐ Cube Model Template
☐ Tetrahedron Model Template
☐ Octahedron Model Template
☐ Dodecahedron Model Template
☐ Icosahedron Model Template
☐ Cube Net Template
☐ Tetrahedron Net Template
☐ Octahedron Net Template
☐ Dodecahedron Net Template
☐ Icosahedron Net Template
☐ Pentomino Challenge
☐ Pentomino Puzzle
☐ Platonic Solids
☐ Platonic Solids Construction Tips
☐ Pyramids
☐ Prisms with Examples
☐ Animated Polyhedron Models
☐ Understand polyhedrons and classify them as Platonic solids, prisms, pyramids etc
☐ Polyhedrons
☐ Platonic Solids
☐ Prisms with Examples
☐ Pyramids
Grade 5 | Algebra
☐ Define and use appropriate terminology when referring to constants, variables, operators, coefficients and algebraic expressions
☐ Algebra - Definitions
☐ Definition of Constant
☐ Definition of Variable
☐ Definition of Expression
☐ Definition of Coefficient
☐ Definition of Operator
☐ Translate simple verbal expressions into algebraic expressions
☐ Introduction to Algebra
☐ Introduction to Algebra - Multiplication
☐ Definition of Problem
☐ Solving Word Questions
☐ Substitute assigned values into variable expressions and evaluate using order of operations
☐ Introduction to Algebra
☐ Introduction to Algebra - Multiplication
☐ Substitution
☐ Order of Operations - BODMAS
☐ Order of Operations - PEMDAS
☐ Open Sentences
☐ Order of Operations Calculator
☐ Solve simple one-step equations using basic whole-number facts
☐ Introduction to Algebra
☐ Introduction to Algebra - Multiplication
☐ Smart Blocks
☐ Open Sentences
☐ Solve and explain simple one-step equations using inverse operations involving whole numbers
☐ Inverse
☐ Reciprocal
☐ Introduction to Algebra
☐ Introduction to Algebra - Multiplication
☐ Open Sentences
☐ Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))
☐ Sequences
☐ Pattern Match - Numbers
☐ Number Sequences - Square, Cube and Fibonacci
☐ Make your own Number Patterns
☐ Definition of Number Pattern
☐ Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
☐ Pattern Match - Numbers
☐ Make your own Number Patterns
☐ Definition of Pattern
☐ Patterns
☐ Shapes Freeplay
☐ Pattern Match - Shapes
☐ Definition of Number Pattern
☐ Activity: Make a Mandala
☐ Pattern Match - Colors
☐ Number Sequences - Square, Cube and Fibonacci
☐ Know the difference between a closed sentence and an open sentence.
☐ Open Sentences
Grade 5 | Coordinates
☐ Identify and plot points in the first quadrant
☐ Alien Mask From Coordinates
☐ Interactive Cartesian Coordinates
☐ Diplodocus Using Coordinates
☐ Definition of Quadrant (graph)
☐ Definition of Point
☐ Hit the Coordinate
☐ Point
Grade 5 | Logic
☐ Use logical reasoning to solve problems involving various skills
☐ Logic Puzzles
☐ Welcome to Mathematics
☐ Learning Mathematics
☐ The Language of Mathematics
☐ Definition of Problem
Grade 5 | Data
☐ Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
☐ What is Data?
☐ Definition of Survey
☐ Display data in a line graph to show an increase or decrease over time
☐ Data Graphs (Bar, Line, Pie)
☐ Line Graphs
☐ Calculate the mean for a given set of data and use to describe a set of data
☐ The Mean Machine
☐ How to Calculate the Mean Value
☐ Definition of Mean
☐ Finding a Central Value
☐ Formulate conclusions and make predictions from graphs
☐ Line Graphs
☐ Pie Chart
☐ Pictographs
☐ Activity: Parking Spaces
☐ Bar Graphs
Grade 5 | Estimation
☐ Justify the reasonableness of estimates
☐ Estimation (Introduction)
☐ Visual Estimation
☐ Definition of Estimate
☐ Estimation Tips and Tricks
☐ Definition of Estimation
☐ Estimation Games
☐ Estimate sums, differences, products, and quotients of decimals
☐ Estimation (Introduction)
☐ Estimation Games
☐ Definition of Estimation
☐ Definition of Estimate
☐ Estimation Tips and Tricks
☐ Justify the reasonableness of answers using estimation
☐ Estimation (Introduction)
☐ Estimation Tips and Tricks
☐ Definition of Estimation
☐ Definition of Estimate
☐ Estimation Games
☐ Rounding Numbers
Grade 5 | Probability
☐ List the possible outcomes for a single-event experiment
☐ Probability
☐ The Spinner - Your Decision Maker
☐ Activity: An Experiment with a Die
☐ Activity: An Experiment with Dice
☐ Record experiment results using fractions/ratios
☐ Probability
☐ Ratios
☐ Activity: An Experiment with a Die
☐ Activity: An Experiment with Dice
☐ Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)
☐ Fair Dice
☐ Probability
☐ The Spinner - Your Decision Maker
☐ Activity: An Experiment with a Die
☐ Activity: An Experiment with Dice
☐ Locate probabilities on a probability number line, and know the meaning of the probabilities 0, 1/2 and 1.
☐ Probability Line
☐ Probability